105239260 has 144 divisors (see below), whose sum is σ = 278712000. Its totient is φ = 33323136.

The previous prime is 105239257. The next prime is 105239261. The reversal of 105239260 is 62932501.

It is a super-2 number, since 2×105239260² = 22150603690695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105239261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3628926 + ... + 3628954.

It is an arithmetic number, because the mean of its divisors is an integer number (1935500).

Almost surely, 2^105239260 is an apocalyptic number.

105239260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105239260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139356000).

105239260 is an abundant number, since it is smaller than the sum of its proper divisors (173472740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105239260 is a wasteful number, since it uses less digits than its factorization.

105239260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105239260 is about 10258.6188154157. The cubic root of 105239260 is about 472.1274612675.

The spelling of 105239260 in words is "one hundred five million, two hundred thirty-nine thousand, two hundred sixty".